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The combinatorial derivation

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Protasov, IV. (2013). The combinatorial derivation. Applied General Topology. 14(2):171-178. doi:10.4995/agt.2013.1587.

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/32890

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Title: The combinatorial derivation
Author: Protasov, Igor V.
Issued date:
Abstract:
[EN] Let G be a group, PG be the family of all subsets of G. For a subset A ¿ G, we put ¿ (A) = {g ¿ G : |gA ¿ A| = ¿}. The mapping ¿ : PG ¿ PG, A ¿ ¿ (A), is called a combinatorial derivation and can be considered as an ...[+]
Subjects: Combinatorial derivation , ¿-trajectories , large, small and thin subsets of groups , partitions of groups , Stone-Cech compactification of a group
Copyrigths: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Source:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2013.1587
Publisher:
Editorial Universitat Politècnica de València
Publisher version: https://doi.org/10.4995/agt.2013.1587
Type: Artículo

References

BANAKH, T., & LYASKOVSKA, N. (2008). WEAKLY P-SMALL NOT P-SMALL SUBSETS IN GROUPS. International Journal of Algebra and Computation, 18(01), 1-6. doi:10.1142/s0218196708004263

M. Filali and I. Protasov, Ultrafilters and Topologies on Groups, Math. Stud. Monorg. Ser., Vol. 13, VNTL Publishers, Lviv, 2010.

Hindman, N., & Strauss, D. (1998). Algebra in the Stone-Čech Compactification. doi:10.1515/9783110809220 [+]
BANAKH, T., & LYASKOVSKA, N. (2008). WEAKLY P-SMALL NOT P-SMALL SUBSETS IN GROUPS. International Journal of Algebra and Computation, 18(01), 1-6. doi:10.1142/s0218196708004263

M. Filali and I. Protasov, Ultrafilters and Topologies on Groups, Math. Stud. Monorg. Ser., Vol. 13, VNTL Publishers, Lviv, 2010.

Hindman, N., & Strauss, D. (1998). Algebra in the Stone-Čech Compactification. doi:10.1515/9783110809220

Ie. Lutsenko, Thin systems of generators of groups, Algebra and Discrete Math., 9 (2010), 108-114.

LUTSENKO, I., & PROTASOV, I. V. (2009). SPARSE, THIN AND OTHER SUBSETS OF GROUPS. International Journal of Algebra and Computation, 19(04), 491-510. doi:10.1142/s0218196709005135

Protasov, I. V. (2011). Selective survey on Subset Combinatorics of Groups. Journal of Mathematical Sciences, 174(4), 486-514. doi:10.1007/s10958-011-0314-x

I. Protasov and T. Banakh, Ball Structure and Colorings of Groups and Graphs, Math. Stud. Monorg. Ser., Vol. 11, VNTL Publishers, Lviv, 2003.

Tao, T., & Van Vu, H. (2006). Additive Combinatorics. doi:10.1017/cbo9780511755149

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